On the go and no time to finish that story right now? Your News is the place for you to save content to read later from any device. Register with us and content you save will appear here so you can access them to read later.

The "heartbroken" grandparents of the boys whose mother allegedly tried to drown them say they warned authorities before the horrific incident.

The state is seeking answers after a five-year-old boy was found dead in the Murray River and his brother was hospitalised after an attempted double drowning by their mother.

The mother who allegedly tried to drown her two sons is set to face court as government agencies investigate the family circumstances that led to the tragedy.

NSW Premier Gladys Berejiklian has committed to a full-scale review asking for "urgent reports" from all agencies that dealt with the family, as it emerged the boys' grandparents had warned authorities about the mother ahead of the tragedy.

The 27-year-old woman has so far been charged with attempted murder and is expected face an additional murder charge when she appears before Deniliquin Local Court via video link today.

It is alleged the woman took her two sons to the river at Moama, in the NSW Riverina district, about 5.30pm on Thursday.

She asked the eldest, 9, to get into the water before trying to keep both boys underwater, police allege.

The nine-year-old wriggled free but was attacked by a dog after making his escape and taken to hospital where he remains in a stable condition. The body of his five-year-old brother was found drowned on Saturday morning.

The two boys had been in their grandmother's care but were "snatched" by their mother after her release from jail, their grandparents have claimed.

In a legal letter sent to the Department of Community Corrections, the grandparents warned the boys had been exposed to "violence and physical harm", and said they held the department, and police, responsible, Fairfax Media reports.

It was reported the grandparents' lawyers said the department did not "take steps to protect our client and her grandchildren".

The grandparents had been caring for the boys for close to 18 months, their lawyers said. Their lawyer, Dale Brooks, said the family was devastated.

"They are simply heartbroken," he said on Saturday evening.

Mr Brooks said the grandparents were in a state of shock but rallying behind their older grandson in hospital.

After the grandparents' claims, the NSW Premier said agencies would urgently look into the family circumstances.

Berejiklian said there would be a thorough investigation into what she called "a human tragedy of the highest proportion".